A Domain Decomposition Chebyshev Spectral Collocation Method for Volterra Integral Equations

摘要

We develop a domain decomposition Chebyshev spectral collocation method for the second-kind linear and nonlinear Volterra integral equations with smooth ker-nel functions. The method is easy to implement and possesses high accuracy. In the convergence analysis, we derive the spectral convergence order under the L∞-norm without the Chebyshev weight function, and we also show numerical examples which coincide with the theoretical analysis.